PMU‐based decentralised mixed algebraic and dynamic state observation in multi‐machine power systems

The authors propose a novel decentralised mixed algebraic and dynamic state observation method for multi‐machine power systems with unknown inputs and equipped with phasor measurement units (PMUs). More specifically, they prove that for the third‐order flux‐decay model of a synchronous generator, th...

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Main Authors: Nicolai Lorenz‐Meyer, Alexey Bobtsov, Romeo Ortega, Nikolay Nikolaev, Johannes Schiffer
Format: Article
Language:English
Published: Wiley 2020-12-01
Series:IET Generation, Transmission & Distribution
Subjects:
Online Access:https://doi.org/10.1049/iet-gtd.2020.1275
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author Nicolai Lorenz‐Meyer
Alexey Bobtsov
Romeo Ortega
Nikolay Nikolaev
Johannes Schiffer
author_facet Nicolai Lorenz‐Meyer
Alexey Bobtsov
Romeo Ortega
Nikolay Nikolaev
Johannes Schiffer
author_sort Nicolai Lorenz‐Meyer
collection DOAJ
description The authors propose a novel decentralised mixed algebraic and dynamic state observation method for multi‐machine power systems with unknown inputs and equipped with phasor measurement units (PMUs). More specifically, they prove that for the third‐order flux‐decay model of a synchronous generator, the local PMU measurements provide enough information to reconstruct algebraically the load angle and quadrature‐axis internal voltage. Due to the algebraic structure, a high numerical efficiency is achieved, which makes the method applicable to large‐scale power systems. Also, they prove that the relative shaft speed can be globally estimated combining a classical immersion and invariance observer with – the recently introduced – dynamic regressor extension and mixing parameter estimator. This adaptive observer ensures global convergence under weak excitation assumptions that are verified in applications. The proposed method neither requires the measurement of exogenous input signals such as the field voltage and the mechanical torque nor the knowledge of mechanical subsystem parameters.
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spelling doaj.art-4a5349c814aa4cb2a762fa8e1a975bef2022-12-22T04:31:06ZengWileyIET Generation, Transmission & Distribution1751-86871751-86952020-12-0114256267627510.1049/iet-gtd.2020.1275PMU‐based decentralised mixed algebraic and dynamic state observation in multi‐machine power systemsNicolai Lorenz‐Meyer0Alexey Bobtsov1Romeo Ortega2Nikolay Nikolaev3Johannes Schiffer4Brandenburg University of Technology Cottbus‐Senftenberg03046CottbusGermanyITMO University197101Saint PetersburgRussian FederationDepartamento Académico de Sistemas DigitalesITAMCiudad de MéxicoMexicoITMO University197101Saint PetersburgRussian FederationBrandenburg University of Technology Cottbus‐Senftenberg03046CottbusGermanyThe authors propose a novel decentralised mixed algebraic and dynamic state observation method for multi‐machine power systems with unknown inputs and equipped with phasor measurement units (PMUs). More specifically, they prove that for the third‐order flux‐decay model of a synchronous generator, the local PMU measurements provide enough information to reconstruct algebraically the load angle and quadrature‐axis internal voltage. Due to the algebraic structure, a high numerical efficiency is achieved, which makes the method applicable to large‐scale power systems. Also, they prove that the relative shaft speed can be globally estimated combining a classical immersion and invariance observer with – the recently introduced – dynamic regressor extension and mixing parameter estimator. This adaptive observer ensures global convergence under weak excitation assumptions that are verified in applications. The proposed method neither requires the measurement of exogenous input signals such as the field voltage and the mechanical torque nor the knowledge of mechanical subsystem parameters.https://doi.org/10.1049/iet-gtd.2020.1275PMU‐basedmixed algebraicmultimachine power systemsdynamic state observation methodphasor measurement unitsthird‐order flux‐decay model
spellingShingle Nicolai Lorenz‐Meyer
Alexey Bobtsov
Romeo Ortega
Nikolay Nikolaev
Johannes Schiffer
PMU‐based decentralised mixed algebraic and dynamic state observation in multi‐machine power systems
IET Generation, Transmission & Distribution
PMU‐based
mixed algebraic
multimachine power systems
dynamic state observation method
phasor measurement units
third‐order flux‐decay model
title PMU‐based decentralised mixed algebraic and dynamic state observation in multi‐machine power systems
title_full PMU‐based decentralised mixed algebraic and dynamic state observation in multi‐machine power systems
title_fullStr PMU‐based decentralised mixed algebraic and dynamic state observation in multi‐machine power systems
title_full_unstemmed PMU‐based decentralised mixed algebraic and dynamic state observation in multi‐machine power systems
title_short PMU‐based decentralised mixed algebraic and dynamic state observation in multi‐machine power systems
title_sort pmu based decentralised mixed algebraic and dynamic state observation in multi machine power systems
topic PMU‐based
mixed algebraic
multimachine power systems
dynamic state observation method
phasor measurement units
third‐order flux‐decay model
url https://doi.org/10.1049/iet-gtd.2020.1275
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AT nikolaynikolaev pmubaseddecentralisedmixedalgebraicanddynamicstateobservationinmultimachinepowersystems
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